文档介绍：A First Course in Linear Algebra
by
Robert A. Beezer
Department of Mathematics puter Science
University of Puget Sound
Version
January 5, 2006
c 2004, 2005, 2006
Copyright
c 2004, 2005, 2006 Robert A. Beezer.
Permission is granted to copy, distribute and/or modify this document under the terms of
the GNU Free Documentation License, Version or any later version published by the
Free Software Foundation; with the Invariant Sections being “Preface”, no Front-Cover
Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled
“GNU Free Documentation License”.
Most recent version can be found at /.
Preface
This textbook is designed to teach the university mathematics student the basics of
the subject of linear algebra. There are no prerequisites other than ordinary algebra,
but it is probably best used by a student who has the “mathematical maturity” of a
sophomore or junior.
The text has two goals: to teach the fundamental concepts and techniques of matrix
algebra and abstract vector spaces, and to teach the techniques associated with under-
standing the definitions and theorems forming a coherent area of mathematics. So there
is an emphasis on worked examples of nontrivial size and on proving theorems carefully.
This book is copyrighted. This means that governments have granted the author a
monopoly — the exclusive right to control the making of copies and derivative works for
many years (too many years in some cases). It also gives others limited rights, generally
referred to as “fair use,” such as the right to quote sections in a review without seeking
permission. However, the author licenses this book to anyone under the terms of the GNU
Free Documentation License (GFDL), which gives you more rights than most copyrights.
Loosely speaking, you may make as many copies as you like at no cost, and you may
distribute these unmodified copies if you please. You may modify the